document.write( "Question 215864: Delmas flew to Detroit in 90 minutes and drove his car back home in 6 hours. If he drove 150mph slower than he flew, then how fast did he fly? \n" ); document.write( "
Algebra.Com's Answer #163096 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
Delmas flew to Detroit in 90 minutes and drove his car back home in 6 hours. If he drove 150mph slower than he flew, then how fast did he fly?\r
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\n" ); document.write( "\n" ); document.write( "Step 1. Let x be the speed of the plane.\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Let x-150 be the speed of the car.\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Let 1.5x be the distance flew by plane where 90 minutes=1.5 hours and 60 minutes = 1 hour.\r
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\n" ); document.write( "\n" ); document.write( "Step 4. Let 6(x-150) be the distance drove by car.\r
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\n" ); document.write( "\n" ); document.write( "Step 5. Distances traveled by plane and car means setting equations in Steps 3 and 4 to be equal.\r
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\n" ); document.write( "\n" ); document.write( "\"1.5x=6%28x-150%29\"\r
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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\n" ); document.write( " YOUR ANSWER\n" ); document.write( "


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  • This is an equation! Solutions: x=200.
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  • Graphical form: Equation \"1.5x=6%2A%28x-150%29\" was fully solved.
  • Text form: 1.5x=6*(x-150) simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+1.5x=6%2A%28x-150%29+%29\"
    For tutors: simplify_cartoon( 1.5x=6*(x-150) )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"1.5%2Ax=highlight_red%28+6%2A%28x-150%29+%29\".
Moved these terms to the left \"highlight_green%28+-6%2A%28x-150%29+%29\"
It becomes \"1.5%2Ax-highlight_green%28+6%2A%28x-150%29+%29=0\".
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Look at \"1.5%2Ax-highlight_red%28+6%2A%28x-150%29+%29=0\".
Expanded term \"-6\" by using associative property on \"%28x-150%29\"
It becomes \"1.5%2Ax-highlight_green%28+6%2Ax+%29%2Bhighlight_green%28+6%2A150+%29=0\".
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Look at \"1.5%2Ax-6%2Ax%2Bhighlight_red%28+6+%29%2Ahighlight_red%28+150+%29=0\".
Multiplied numerator integers
It becomes \"1.5%2Ax-6%2Ax%2Bhighlight_green%28+900+%29=0\".
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Look at \"highlight_red%28+1.5%2Ax+%29-highlight_red%28+6%2Ax+%29%2B900=0\".
Eliminated similar terms \"highlight_red%28+1.5%2Ax+%29\",\"highlight_red%28+-6%2Ax+%29\" replacing them with \"highlight_green%28+%281.5-6%29%2Ax+%29\"
It becomes \"highlight_green%28+%281.5-6%29%2Ax+%29%2B900=0\".
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Look at \"%28highlight_red%28+1.5+%29-highlight_red%28+6+%29%29%2Ax%2B900=0\".
Added fractions or integers together
It becomes \"%28-highlight_green%28+45%2F10+%29%29%2Ax%2B900=0\".
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Look at \"highlight_red%28+%28-highlight_red%28+45%2F10+%29%29%2Ax+%29%2B900=0\".
Remove unneeded parentheses around factor \"highlight_red%28+45+%29\",\"highlight_red%28+1%2F10+%29\"
It becomes \"-highlight_green%28+45+%29%2Fhighlight_green%28+10+%29%2Ax%2B900=0\".
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Look at \"-highlight_red%28+45+%29%2Fhighlight_red%28+10+%29%2Ax%2B900=0\".
Factors 45 and 10 have greatest common factor (GCF) of 5. Reducing fraction.
It becomes \"-highlight_green%28+9+%29%2Fhighlight_green%28+2+%29%2Ax%2B900=0\".
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Look at \"highlight_red%28+-9%2F2%2Ax%2B900+%29=0\".
Solved linear equation \"highlight_red%28+-9%2F2%2Ax%2B900=0+%29\" equivalent to -4.5*x+900 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: x=200.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "With x=200, then x-150=50. \r
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\n" ); document.write( "\n" ); document.write( "Check if distances are equal... 1.5*200=6*50 or 300=300 a true statement\r
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\n" ); document.write( "\n" ); document.write( "Step 6. The speed of the plane is 200 mph.\r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r
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\n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "Good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J
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